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Finding the Third Proportional to 90,053 and 195,962

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Solution

The third proportional to 90,053 and 195,962 is: 426,427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,053 : 195,962 = 195,962 : x
  2. Step 2: Convert to fraction form
    90,053/195,962 = 195,962/x
  3. Step 3: Cross multiply
    90,053x = 195,962 × 195,962
  4. Step 4: Simplify right side
    90,053x = 38,401,105,444
  5. Step 5: Solve for x
    x = 38,401,105,444/90,053
  6. Step 6: Final answer
    x = 426,427.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.